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Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Formula

GoSection Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Formula

GoSection Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Formula

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Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Check FAQs

S = \frac{I xx}{Y max}

S - Section Modulus?I_xx - Moment of Inertia about X-X Axis?Y_max - Distance b/w Outermost and Neutral Layer?

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Example

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Here is how the Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia equation looks like with Values.

Here is how the Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia equation looks like with Units.

Here is how the Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia equation looks like.

813333.3333 = \frac{6.1E+9}{7500}

813333.3333mm³ = \frac{6.1E+9mm⁴}{7500mm}

813333.3333 = \frac{6.1E+9}{7500}

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Strength of Materials » fx Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Solution

Follow our step by step solution on how to calculate Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia?

FIRST Step Consider the formula

S = \frac{I xx}{Y max}

Next Step Substitute values of Variables

∴

S = \frac{6.1E+9mm⁴}{7500mm}

Next Step Convert Units

∴

S = \frac{0.0061m⁴}{7.5m}

Next Step Prepare to Evaluate

∴

S = \frac{0.0061}{7.5}

Next Step Evaluate

∴

S = 0.000813333333333333m³

Next Step Convert to Output's Unit

∴

S = 813333.333333333mm³

LAST Step Rounding Answer

∴

S = 813333.3333mm³

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Formula Elements

Variables

Section Modulus

Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: S

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Moment of Inertia about X-X Axis

Moment of Inertia about X-X Axis is defined as the quantity expressed by the body resisting angular acceleration.

Symbol: I_xx

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about X-X Axis

Distance b/w Outermost and Neutral Layer

Distance b/w Outermost and Neutral Layer is the separation between the outermost fibers of a structural member (like a beam) and its neutral axis or neutral layer.

Symbol: Y_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance b/w Outermost and Neutral Layer

Other Formulas to find Section Modulus

Go Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section

S = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer}

Go Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia

S = \frac{I yy}{Y max}

Go Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section

S = \frac{(B outer \cdot ({L outer}^{3})) - (({L inner}^{3}) \cdot B inner)}{6 \cdot L outer}

Other formulas in Kernel of Hollow Rectangular Section category

Go Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section

e yy = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer \cdot (((B outer) \cdot (L outer)) - ((L inner) \cdot (B inner)))}

Go Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section

e xx = \frac{(B outer \cdot ({L outer}^{3})) - (({L inner}^{3}) \cdot B inner)}{6 \cdot L outer \cdot ((B outer \cdot (L outer)) - ((L inner) \cdot B inner))}

Go Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis

L inner = \frac{(({B outer}^{3}) \cdot (L outer)) - (6 \cdot S \cdot B outer)}{{B inner}^{3}}

Go External Length of hollow Rectangular Section using Section Modulus about y-y axis

L outer = \frac{(6 \cdot S \cdot B outer) + ((L inner) \cdot ({B inner}^{3}))}{{B outer}^{3}}

How to Evaluate Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia?

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia evaluator uses Section Modulus = Moment of Inertia about X-X Axis/Distance b/w Outermost and Neutral Layer to evaluate the Section Modulus, The Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending and is used to calculate the maximum bending stress in a beam. It is an important concept in structural engineering and mechanics of materials. Section Modulus is denoted by S symbol.

How to evaluate Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia using this online evaluator? To use this online evaluator for Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia, enter Moment of Inertia about X-X Axis (I_xx) & Distance b/w Outermost and Neutral Layer (Y_max) and hit the calculate button.

FAQs on Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia

What is the formula to find Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia?

The formula of Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia is expressed as Section Modulus = Moment of Inertia about X-X Axis/Distance b/w Outermost and Neutral Layer. Here is an example- 8.1E+14 = 0.0061/7.5.

How to calculate Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia?

With Moment of Inertia about X-X Axis (I_xx) & Distance b/w Outermost and Neutral Layer (Y_max) we can find Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia using the formula - Section Modulus = Moment of Inertia about X-X Axis/Distance b/w Outermost and Neutral Layer.

What are the other ways to Calculate Section Modulus?

Here are the different ways to Calculate Section Modulus-

Section Modulus=(((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(6*Outer Breadth of Hollow Rectangular Section)
Section Modulus=Moment of Inertia about Y-Y Axis/Distance b/w Outermost and Neutral Layer
Section Modulus=((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle)

Can the Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia be negative?

No, the Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia?

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia is usually measured using the Cubic Millimeter[mm³] for Volume. Cubic Meter[mm³], Cubic Centimeter[mm³], Liter[mm³] are the few other units in which Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia can be measured.

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Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Formula

​GoSection Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Formula

​GoSection Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Formula

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Example

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Solution

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia Formula Elements

Other Formulas to find Section Modulus

Other formulas in Kernel of Hollow Rectangular Section category

How to Evaluate Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia?

FAQs on Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia

Variable Name

GoSection Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Formula

GoSection Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Formula